Connecting structure of nuclei to nucleon-nucleus scattering

Charged-particle inelastic scattering is an experimental probe for excitation spectrum of the target nucleus and has applications in surrogate reaction method. On the other hand, the experimental data for neutron-nucleus inelastic scattering is scarce and thus one needs a robust theoretical framework to study it in a predictive way. To this end we integrate microscopic structure of nuclei with reaction theory for nucleon-nucleus scattering. We implement the Jeukenne, Lejeune, Mahaux (JLM) semi-microscopic folding approach [1,2,3], where the medium effects on nuclear interaction are parameterized in nuclear matter to obtain nucleon-nucleon interaction in a medium at positive energies. We solve the nuclear ground state using Hartree-Fock-Bogoliubov many-body method, and by approximating interaction between nucleons within a nucleus as Gogny-D1M potential [4]. The vibrational excited states of the target nucleus are calculated using quasi-particle random phase approximation method [5]. In this presentation, we present our results for elastic and inelastic scattering cross sections for the chain of Zr isotopes using this approach.

References :

1. J.-P. Jeukenne, A. Lejeune, and C. Mahaux, Phys. Rev. C 16, 80 (1977).

2. E. Bauge, J. P. Delaroche, and M. Girod, Phys. Rev. C 58, 1118 (1998).

3. M. Dupuis, G. Haouat, J.-P. Delaroche, E. Bauge, J. Lachkar, Physical Review C 100, 044607 (2019).

4. J. Berger, M. Girod, and D. Gogny, Comput. Phys. Commun. 63, 365 (1990).

5. E. Chimanski, E. In, J. Escher, S. Péru, W. Younes, J. Phys.: Conf. Ser. 2340 012033 (2022).